• 제목/요약/키워드: nonlinear vibration control

검색결과 274건 처리시간 0.024초

Measurement of Nonlinear Time-variant Source Characteristics of Intake and Exhaust Systems in Fluid Machines

  • Jang Seung-Ho;Ih Jeong-Guon
    • The Journal of the Acoustical Society of Korea
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    • 제24권3E호
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    • pp.87-89
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    • 2005
  • The acoustical sources of intake and exhaust systems in fluid machines are often characterized by the source impedance and strength using linear frequency-domain modeling. In the case of the sources which are nonlinear and time-variant, however, the source parameters were sometimes incorrectly obtained. In this paper, the source model and direct measurement technique are modified in order to evaluate the effect due to nonlinear and periodically time-varying source character as well as the linear property of the reflectivity of in-duct fluid machine source. With a priori known kinematical information of the source, the types of nonlinear time-variant terms can be presumed by a simple physical model, in which there is practically no restriction on the form of the model. The concept of source impedance can be extendable by introducing the linear frequency response function for each nonlinear or time-variant input. Extending the conventional method and adapting the reverse MISO technique, it is possible to develop a direct method that can deal with the nonlinear time-variant source parameters. The proposed direct method has a novel feature that there is no restriction on the probability or spectral natures of the excited sound pressure data. The present method is verified by the simulated measurements for simplified fluid machines. It is thought that the proposed method would be useful in predicting the insertion loss or the radiated sound level from intake or exhaust systems.

퍼지 기법과 PID 제어기를 이용한 외팔보의 능동 진동 제어 (Active Vibration Control of a Cantilever Beam Using Fuzzy Control Scheme and PID Controller)

  • 최수영;김진태;박기헌
    • 전자공학회논문지SC
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    • 제40권1호
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    • pp.1-10
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    • 2003
  • 본 논문에서는 외팔보 시스템의 능동 진동 제어를 위하여 퍼지 기법으로 동조한 PID 제어기 설계기법을 제시하였다. 직접 제작된 전자석은 작동기로 사용되었으며, 레이져 감지기가 보의 굽힘 변위를 측정하는데 사용되었다. 작동기와 감지기의 물리적 제한 때문에 실험 시스템이 비동위치(Noncollocated) 형태가 되었으며 비접촉식 제어 시스템을 이룬다 시스템의 모델링은 자유진동 방정식에 의한 모달 해석 방법으로 구하였으며 작동기로부터 감지기까지의 전달함수는 전자석 자동기차 보의 역학 방정식을 조합하여 구하였다. 일반적으로 PID 제어기는 산업 현장에서 널리 사용되고 있으나, 비선형성이 강한 시스템이나 시변 특성을 갖는 시스템에서 적절한 PID 이득값을 결정하는 것은 어렵다. 이에 본 논문에서는 자동적으로 PID 이득 값을 조절하는 퍼지 기법으로 동조한 PID 제어기를 설계하여 비선형성이 강한 전자석을 작동기로 사용하는 외팔보 시스템의 진동 제어에 적용하였다. 시뮬레이션과 실험적 결과를 통하여 설계된 제어기의 진동 감쇠 효과와 성능을 검증하였으며, PID 제어기의 경우와 비교하여 더 나은 진동 제어 성능을 가짐을 실험적 결과로부터 증명하였다.

ER 유체를 이용한 반능동 완충장치의 동적 특성 (Dynamic Characteristics of Semi-Active Shock Absorber Using Electrorheological Fluid)

  • 김도형;조기대;정용현;이인
    • 한국소음진동공학회논문집
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    • 제11권4호
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    • pp.13-21
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    • 2001
  • Electrorheological(ER) fluid is a kind of smart material with variable shear stress and dynamic viscosity under various electric field intensity. Electric field can control the damping characteristics of ER damper. The objective of this study is the analysis of the performance of ER damper and its application to shock absorber. Idealized nonlinear Bingham plastic shear flow model is used to predict the velocity profile between electrodes. Cylindrical dashpot ER damper with moving electrode is constructed and tested under various electric fields. The analytic and experimental results for damping force are compared and discussed. Drop test system using ER damper is prepared to identify transient vibration characteristics. The rebound is eased as the applied electric field increases. When semi-active control algorithm is applied, rebound phenomenon disappears and vibration energy level decays faster than the case of zero electric field.

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Comparing type-1, interval and general type-2 fuzzy approach for dealing with uncertainties in active control

  • Farzaneh Shahabian Moghaddam;Hashem Shariatmadar
    • Smart Structures and Systems
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    • 제31권2호
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    • pp.199-212
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    • 2023
  • Nowadays fuzzy logic in control applications is a well-recognized alternative, and this is thanks to its inherent advantages. Generalized type-2 fuzzy sets allow for a third dimension to capture higher order uncertainty and therefore offer a very powerful model for uncertainty handling in real world applications. With the recent advances that allowed the performance of general type-2 fuzzy logic controllers to increase, it is now expected to see the widespread of type-2 fuzzy logic controllers to many challenging applications in particular in problems of structural control, that is the case study in this paper. It should be highlighted that this is the first application of general type-2 fuzzy approach in civil structures. In the following, general type-2 fuzzy logic controller (GT2FLC) will be used for active control of a 9-story nonlinear benchmark building. The design of type-1 and interval type-2 fuzzy logic controllers is also considered for the purpose of comparison with the GT2FLC. The performance of the controller is validated through the computer simulation on MATLAB. It is demonstrated that extra design degrees of freedom achieved by GT2FLC, allow a greater potential to better model and handle the uncertainties involved in the nature of earthquakes and control systems. GT2FLC outperforms successfully a control system that uses T1 and IT2 FLCs.

Nonlinear in-plane free oscillations of suspended cable investigated by homotopy analysis method

  • Zhao, Yaobing;Sun, Ceshi;Wang, Zhiqian;Peng, Jian
    • Structural Engineering and Mechanics
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    • 제50권4호
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    • pp.487-500
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    • 2014
  • An analytical solution for the nonlinear in-plane free oscillations of the suspended cable which contains the quadratic and cubic nonlinearities is investigated via the homotopy analysis method (HAM). Different from the existing analytical technique, the HAM is indeed independent of the small parameter assumption in the nonlinear vibration equation. The nonlinear equation is established by using the extended Hamilton's principle, which takes into account the effects of the geometric nonlinearity and quasi-static stretching. A non-zero equilibrium position term is introduced due to the quadratic nonlinearity in order to guarantee the rule of the solution expression. Therefore, the mth-order analytic solutions of the corresponding equation are explicitly obtained via the HAM. Numerical results show that the approximate solutions obtained by using the HAM are in good agreement with the numerical integrations (i.e., Runge-Kutta method). Moreover, the HAM provides a simple way to adjust and control the convergent regions of the series solutions by means of an auxiliary parameter. Finally, the effects of initial conditions on the linear and nonlinear frequency ratio are investigated.

Investigation of nonlinear vibration behavior of the stepped nanobeam

  • Mustafa Oguz Nalbant;Suleyman Murat Bagdatli;Ayla Tekin
    • Advances in nano research
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    • 제15권3호
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    • pp.215-224
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    • 2023
  • Nonlinearity plays an important role in control systems and the application of design. For this reason, in addition to linear vibrations, nonlinear vibrations of the stepped nanobeam are also discussed in this manuscript. This study investigated the vibrations of stepped nanobeams according to Eringen's nonlocal elasticity theory. Eringen's nonlocal elasticity theory was used to capture the nanoscale effect. The nanoscale stepped Euler Bernoulli beam is considered. The equations of motion representing the motion of the beam are found by Hamilton's principle. The equations were subjected to nondimensionalization to make them independent of the dimensions and physical structure of the material. The equations of motion were found using the multi-time scale method, which is one of the approximate solution methods, perturbation methods. The first section of the series obtained from the perturbation solution represents a linear problem. The linear problem's natural frequencies are found for the simple-simple boundary condition. The second-order part of the perturbation solution is the nonlinear terms and is used as corrections to the linear problem. The system's amplitude and phase modulation equations are found in the results part of the problem. Nonlinear frequency-amplitude, and external frequency-amplitude relationships are discussed. The location of the step, the radius ratios of the steps, and the changes of the small-scale parameter of the theory were investigated and their effects on nonlinear vibrations under simple-simple boundary conditions were observed by making comparisons. The results are presented via tables and graphs. The current beam model can assist in designing and fabricating integrated such as nano-sensors and nano-actuators.

동조질량감쇠기를 이용한 해양구조물의 진동제어 (Vibration Control of Offshore Platform using Tuned Mass Damper)

  • 김주명;이규원
    • 한국강구조학회 논문집
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    • 제16권1호통권68호
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    • pp.73-79
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    • 2004
  • 파랑에 의해 발생하는 해양구조물의 진동을 억제하기 위해 동조질량감쇠기(Tuned Mass Damper, TMD)를 적용하여 그 효과를 분석하였다. 해양구조물의 운동방정식에 포함된 파랑-구조물 상호작용에 의한 비선형성을 선형화한 경우의 오차와 TMD설계시 선형방정식을 사용한 경우 발생할 수 있는 현상을 분석하였다. TMD설치 전후의 제진효과 분석에서는 주기를 달리한 규칙파에 의한 성능과, 유의파가 서로다른 불규칙파에 의한 성능을 동시에 분석하였다. 규칙파에 의한 해석결과 입사파의 주기가 구조물의 첫 번째 고유주기와 근접한 경우 제진효과가 뛰어났으며 주기가 더 짧거나 더 긴 경우는 제진효과가 감소하였다. 불규칙파에 의한 해석결과는 유의파가 상대적으로 작아 구조물의 고유주기 성분이 많이 포함된 파랑에 대한 제진효과가 뛰어나고, 유의파가 커서 구조물의 고유주기 보다 큰 성분이 많이 포함된 파랑에서는 제진효과를 발견할 수 없었다. 따라서, 해양구조물에 TMD를 적용할 때는 파고가 작은 상시 내습 파랑에 대한 제진효과를 볼 수 있으며 이는 상시 진동제어를 통한 피로수명 확보에 큰 도움이 될 것으로 예상된다.

20층 비선형 벤치마크 빌딩에 대한 MR 유체 감쇠기의 최적위치 결정 (Optimal placement of MR dampers for 20-story nonlinear benchmark building)

  • 장종우;조상원;윤우현;이인원
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.153-160
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    • 2003
  • The objective of optimal placement of dampers for a structure is to maximize the effective-ness of the vibration control with the same number of dampers. While many optimal placement methods of linear viscous dampers have been proposed and used, there are only a few methods for MR dampers. Here some optimal location indices for M dampers are proposed, which are similar to those for linear viscous dampers and show how large the structural responses on each floor are. Every time an additional MR damper is implemented, the optimal location index on each floor is measured, and then the next damper is installed on the floor with the maximum location index. In these sequential procedures, the peak interstory drift, the peak interstory velocity and the absolute acceleration of each floor are selected as the optimal location indeices. Four different earthquakes with various scales are loaded to the 20-story nonlinear benchmark building model (Otori et al. 2000, 2002). Passive On/on algorithms are used in order to represent the control algorithm of M dampers.

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20층 비선형 벤치마크 빌딩에 대한 자기유변유체 감쇠기의 최적위치 결정 (Optimal placement of MR dampers for 20-story nonlinear benchmark building)

  • 장종우;조상원;이인원;윤우현
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 추계 학술발표회논문집
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    • pp.467-472
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    • 2003
  • The objective of optimal placement of dampers for a structure is to maximize the effectiveness of the vibration control with the same number of dampers. While many optimal placement methods of linear viscous dampers have been proposed and used, there are only a few methods for MR dampers. Here some optimal location indices for MR dampers are proposed, which are similar to those for linear viscous dampers and show how large the structural responses on each floor we. Every time an additional MR damper is implemented, the optimal location index on each floor is measured, and then the next damper is installed on the floor with the maximum location index. In these sequential procedures, the peak interstory drift, the peak interstory velocity and the absolute acceleration of each floor are selected as the optimal location indeices. Four different earthquakes with various scales are loaded to the 20-story nonlinear benchmark building model (Otori et at. 2000, 2002). Passive On/Off algorithms are used in order to represent the control algorithm of MR dampers.

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벨 크랭크 구조를 가지는 6 자유도 진동 시험기의 추적 제어 (Tracking Control of 6-DOF Shaking Table with Bell Crank Structure)

  • 전득재;박성호;박영진;박윤식;김형의
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.306-309
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    • 2005
  • This parer describes the tracking control simulation of 6-DOF shaking table with a bell crank structure, which converts the direction of reciprocating movements. For the Joint coordinate-based control which uses lengths of each actuator, the trajectory conversion process inverse kinematics is performed. Applying the Newton-Euler approach, the dynamic equation of the shaking table is derived. To cope with nonlinear problems, time-delay control(TDC) is considered, which has been noted for its exceptional robustness to parameter uncertainties and disturbance, in addition to steady-state accuracy and computational efficiency. If the nominal model is equal to the real system, joint coordinate-based control can be very efficient. However, manufacturing tolerances installation errors and link offsets contaminate the nominal values of the kinematic parameters used in the kinematic model of the shaking table. To compensate differences between the nominal model and the real system. the joint coordinate-based control using acceleration feedback in the Cartesian coordinate space is proposed.

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